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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 42, 2002 - Issue 4
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Original Articles

Proper Orthogonal Decomposition for Time-Dependent Lid-Driven Cavity Flows

Daniel Ahlman
,
Fredrik Söderlund
,
Jelliffe Jackson
,
Andrew Kurdila
&
Wei Shyy
Pages 285-306 | Published online: 30 Nov 2010
 
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Abstract

Proper orthogonal decomposition (POD) is employed to study a time-dependent lid-driven cavity flow. Ensembles of data are compiled from transient solutions computed with different grids and Reynolds numbers. The POD bases are used to reconstruct the constituents of the ensemble. Error measures are used to evaluate the effectiveness of the method. The geometric locations of major errors and their dependency on Reynolds number are also investigated. The POD technique proves capable of capturing more than 99.7% of the kinetic energy, using the first three eigenmodes. The errors were found to be uniformly bounded, which validates the theory derived.

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